Find the area of a square with a side of length 2 Square root of 3+6 square root of 7 inches

Answers

Answer 1

Answer:

(264+24√21) in²

Step-by-step explanation:

Area of a square = Length * Length

A = L²

Given the length of a square as [tex]2\sqrt{3}+6\sqrt{7}[/tex] inches' The area of the square will be calculated as shown;

[tex]A = (2\sqrt{3}+6\sqrt{7})^2\\\\A = (2\sqrt{3}+6\sqrt{7})(2\sqrt{3}+6\sqrt{7})\\\\A =(2\sqrt{3})(2\sqrt{3})+(2\sqrt{3})(6\sqrt{7})+(6\sqrt{7})(2\sqrt{3})+(6\sqrt{7})(6\sqrt{7})\\\\A = 4\sqrt{9}+12\sqrt{21}+12\sqrt{21}+36\sqrt{49}\\\\A = 4(3)+24\sqrt{21}+36(7)\\ \\A = 12+24\sqrt{21}+252\\\\A = 264+24\sqrt{21}[/tex]

Hence the area of the square is (264+24√21) in²


Related Questions

Can someone please help me?

Answers

Answer:

2/5 so 4/10

THE ANSWER IS A

Answer:

4/10

Step-by-step explanation:

get a common denominator (which is 10) then subtract

g Z-Test for Population Means Calculate z-statistic of a population mean. Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339. z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction If the sample mean is $31,650, what is the z-score

Answers

Answer: 2.46

Step-by-step explanation:

Formula for x-score is given by :-

[tex]Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

, where [tex]\overline{x}[/tex] = Sample mean , [tex]\mu[/tex]= population mean, [tex]\sigma[/tex] = population standard deviation, n= sample size.

As per given , n=10

[tex]\mu[/tex]= $29,056

[tex]\sigma[/tex] = $3,339

[tex]\overline{x}[/tex] =  $31,650

Then,

[tex]z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46[/tex]

Hence, the z-score = 2.46

Find the second endpoint of the segment that has an endpoint at (-1, 3) and its midpoint
at (8,-2).

Answers

Answer:

(17, -7)

Step-by-step explanation:

you add 9 to the x-value, and subtract 5 from the y-value. If you look closely, you'll see that that's what happens for the first coordinate too. -1+9=8. 3-5=-2. I hope that was helpful for you!

These triangles are scaled copies of each other.

For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?

Answers

Answer/Step-by-step explanation:

Recall: the ratio of the areas of two similar figures = the square of the ratio of the corresponding sides of the similar figures.

This will give us the scale factor.

The scale factor indicates how many times larger the second triangle is than the area of the first.

Let's find how many times larger is the area of the second triangle is to the first:

1. ∆ G And ∆ F

[tex] \frac{Area_{F}}{Area_{G}} = \frac{side_{F}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{F}}{Area_{G}} = \frac{6^2}{3^2} [/tex]

[tex] = \frac{36}{9} = 4 [/tex]

∆F is 4 times larger than ∆G

2. ∆ G And ∆ B

[tex] \frac{Area_{B}}{Area_{G}} = \frac{side_{B}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{B}}{Area_{G}} = \frac{2^2}{4^2} [/tex]

[tex] = \frac{4}{16} = 0.25 [/tex]

∆B is 0.25 times ∆G

3. ∆ B And ∆ F

[tex] \frac{Area_{G}}{Area_{B}} = \frac{side_{F}^2}{side_{B}^2} [/tex]

[tex] \frac{Area_{F}}{Area_{B}} = \frac{8^2}{2^2} [/tex]

[tex] = \frac{64}{4} = 4 [/tex]

∆F is 16 times larger than ∆B

4. ∆ F And ∆ H

[tex] \frac{Area_{H}}{Area_{F}} = \frac{side_{H}^2}{side_{F}^2}} [/tex]

[tex] \frac{Area_{H}}{Area_{F}} = \frac{2^2}{6^2} [/tex]

[tex] = \frac{4}{36} = \frac{1}{9} [/tex]

∆H is ⅑ times ∆F

5. ∆ G And ∆ H

[tex] \frac{Area_{H}}{Area_{G}} = \frac{side_{H}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{H}}{Area_{G}} = \frac{2^2}{3^2} [/tex]

[tex] = \frac{4}{9} [/tex]

∆G is 4/9 times ∆G

6. ∆ H And ∆ B

[tex] \frac{Area_{B}}{Area_{H}} = \frac{side_{B}^2}{side_{H}^2} [/tex]

[tex] \frac{Area_{B}}{Area_{H}} = \frac{1.5^2}{2^2} [/tex]

[tex] = \frac{2.25}{4} = 0.6 [/tex] (nearest tenth)

∆B is 0.6 times ∆H

Brian saw 106 birds and half as many squirrels. Which of the following is a good estimation of how many more birds he saw than squirrels?

Answers

Answer:

53

Step-by-step explanation:

Victor is selling lemonade to raise money for his school. The amount of money collected from his sales each day is summarized in the plot box below. What is the interquartile range of the data

Answers

Answer:

7

Step-by-step explanation:

Just put it

Answer:

7

Step-by-step explanation:

Did it in I ready

Evaluate the expression if x= -2 and y= - 4.
3xy + 4

Answers

Answer:

28

Step-by-step explanation:

3(-2)(-4)+4=?

(-6)(-4)+4=?

24+4=-28

3(-2)(-4)+4 =
24+4 = 28

Can someone do this please for me :(

Answers

The 1st question says that you should look clearly and it tells you what you need to learn. Use this information with all the other questions

What is least to greatest 2/3 0.6 -0.4 -3/5
4/5?

Answers

-3/5, -0.4, 0.6, 2/3, 4/5
-3/5 -0.4 0.6 4/5 2/3

I need help on this

Answers

Answer:

x=28

Step-by-step explanation:

180-42=138 since a triangle adds up to 180

2x+10+3x-12=138 then combine like terms

5x-2=138 add 2 to both sides

5x=140 divide each side by 5

x=28

12a - 6 + 7a - 2a ; a = 4
Need help please

Answers

Answer:

62

Step-by-step explanation:

Plug in the value of a in the equation:

12(4) - 6 + 7(4) - 2(4)

Solve 12(4) - 6:

12(4) - 6 = 48 - 6 = 42

Solve 7(4) - 2(4):

7(4) - 2(4) = 28 - 8 = 20

Combine both answers (42+20):

42+20 = 62

Complete answer:

12(4) - 6 + 7(4) - 2(4) = 62

Freddie put an empty bucket underneath a leaking pipe. After 3/4 hours, Freddie collected 1/2 cups of water. What is the rate, in cups per hour, at which the water is leaking from the pipe?

Answers

0.35 cups/hour

To be able to determine the rate at which the water is leaking from the pipe with the information given, you have to divide the number of cups by the number of hours in which they were collected:
12 cups/34 hours= 0.35 cups/hour
According to this, the answer is that the rate at which the water is leaking from the pipe is 0.35 cups/hour.

Hope this helps!!

Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?
a.c=-6
b.c=-1
c.c=5
d.c=7
Answer is C.

Answers

answer: C

Explanation: It’s says right there

What’s the slope of (6, 12) and (-6,-2)

Answers

Answer:

m= 7 / 6

Step-by-step explanation:

we need to start out by plugging in the integers into the formula which is the following:

m= y2 - y1 / x2 - x1

m= -2 - 12 / -6 - 6

then we begin to solve

m= -14 / -12

this is not in its simplest form, so we simplify it

(in this case I simplified by 2)

m= -7 / -6

and because two negatives will give you a positive, your final answer is

m= 7 / 6

Use linear equation to calculate intercepts. x minus one-half y = negative 4 Complete the table with values for a and b. A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.

Answers

Answer:

Use linear equation to calculate intercepts.

x minus one-half y = negative 4

Complete the table with values for a and b.

A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.

a =  

✔ 8

b =  

✔ –4

Step-by-step explanation:

those are ur correct answers

Answer:

Use linear equation to calculate intercepts.

x minus one-half y = negative 4

Complete the table with values for a and b.

A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.

a =  

✔ 8

b =  

✔ –4

Step-by-step explanation:

Can someone explain aswell

Answers

Answer:

24 ft²

Step-by-step explanation:

find the length of the base of each triangle through a² + b² = c², c being hypotenuse.

after finding the length of each individual base, use A= 1/2bh (multiply base and height and then divide by 2) to calculate area of each triangle. then add and round. hope this helps

8p -4p =2p+6 p= Help please

Answers

Answer:

[tex]p=3[/tex]

Step-by-step explanation:

[tex]8p-4p=2p+6[/tex]

Solve the left side:

[tex]4p=2p+6[/tex]

Subtract 2p from both sides:

[tex]4p-2p=2p+6-2p[/tex]

[tex]2p=6[/tex]

Divide both sides by 2:

[tex]\frac{2p}{2}=\frac{6}{2}[/tex]

[tex]p=3[/tex]

Answer:

p=3

Step-by-step explanation:

8p-4p=2p+6

4p=2P+6

4p-2p=6

2p=6

P=6/2

p=3 ans

Malik is planning a 6-day summer vacation trip. He has $840 in savings, and he earns $45 per hour for tutoring. The trip will
cost him $525 for airfare, $780 for food and sightseeing, and $95 per night for the hotel. How many hours must he tutor to
have enough money to pay for the trip?

Answers

Answer:

23

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number of hours required to tutor to have enough money to pay for the trip is 23 hours.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of days for the summer vacation = 6

Savings = $840

Earnings per hour = $45

Airfare cost = $525

Food and sightseeing = $780

Hotel cost per night = $95

Number of hours = x

We can make an expression.

525 + 780 + 6 x 95 = 840 + 95x

525 + 780 + 570 = 840 + 45x

1875 = 840 + 45x

1875 - 840 = 45x

1035 = 45x

1035/45 = x

x = 23

This means 23 hours.

Thus,

The number of hours required to tutor to have enough money to pay for the trip is 23 hours.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

How is. X^2=36 rational?

Answers

Answer:

[tex] {x}^{2} = 36 \\ x = \sqrt{36 } \\ x = 6 \\ it \: is \: rational \: number \: because \: we \: can \: write \: 6as \: 6 \1 \: it \: is \: in \: the \: form \: of \: p \q \: where \: \: q \: i \: not \: equals \: to \: 0[/tex]

hope this will help you.

Which number is equivalent to 4/5?
A. 25
100
B. 0.2
O C.
16
100
D. 0.8
PLEASE HELP ASAP

Answers

the answer is D . (0.8)

Answer:

D) 0.8

Step-by-step explanation:

To get this answer, divid 4 by 5! 4 divided by 5 is equivalent to 0.8!

Ora Nation
sela
Barney went to play laser tag for the day and spent a total of $48.75. The laser tag
arena charges $12.50 for the first game and $7.25 for each additional game. The cost
of the first three games is shown below.
Time E
Attempt
7 Hour
1 game
2 games
3 games
$12.50
$19.75
$27.00
The equation to determine the number of additional games, g, Barney played is
7.259 + 12.50 = 48.75
• Solve the equation to determine the number of additional games, g, Barney played
. What is the total number of laser tag games that Barney played?
Barney played a total of
games.
Activate

Answers

Answer:

The first blank is g=5 Barney played 6 games of lazer tag

Step-by-step explanation:

7.25g+12.50=48.75

First subtract 12.50 from 48.75

7.25g=36.25

then divide 7.25 from both side

g=5

thats how many games he played that cost 7.25 and he played one game that cost 12.50 so he played 6 games  

What is the solution to the following equation 8x-3(2x-4)=3(x-6)

Answers

Answer:

X=30

Step-by-step explanation:

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

[tex]8x-3(2x-4) = 3(x-6)[/tex]

[tex]8x-6x+12 = 3x-18[/tex]

[tex]2x+12 = 3x-18[/tex]

[tex]2x=3x-30[/tex]

[tex]5x= -30[/tex] Divide by 5 next

[tex]x=-6[/tex]

Hope this helps, have a great day:)

How many gallons of paint are needed to paint the walls of a rectangular prism shaped room that is 20 ft by 13 ft and 8 ft high if 1 gallon of paint covers 40 square feet?

Answers

Answer:

20 Gallons of paint are needed.

Step-by-step explanation:

Surface Area of a rectangular prism formula is 2 * length * width + 2 * length * height + 2 * width * height.

Substituting the given values, we get:

SA = 2 * 20 * 13 + 2 * 20 * 8 + 2 * 13 * 8

SA = 1048

Area of the floor is length * width. 20 * 13 = 260

Subtract the area of the floor from SA as we do not paint the floor. 1048 - 260 = 788

The number of gallons of paint is 788 / 40 as each gallon covers 40 sq feet. We round this number up to ensure that we have more than enough paint. 788 / 40 = 19.7. Rounding that to 20.

Therefore, 20 gallons of paint are needed.

find the solution of 4t - 2 = 9

Answers

Answer:

t = 11/4

Step-by-step explanation:

Step 1: Write out equation

4t - 2 = 9

Step 2: Add 2 on both sides

4t = 11

Step 3: Divide both sides by 4

t = 11/4

Answer:

[tex]t = 2\frac{3}{4} \\\\t = 11/4[/tex]

Step-by-step explanation:

[tex]4t -2 =9[/tex]

Collect like terms and simplify

[tex]4t=9+2\\\\4t =11[/tex]

Divide both sides of the equation by 4

[tex]\frac{4t}{4} = \frac{11}{4} \\\\t = \frac{11}{4} \\\\11\div 4 =2 \:remainder\: 3\\\\= 2\frac{3}{4}[/tex]

What is the equation of this line?

Answers

Answer:

y=4/3x-1

Step-by-step explanation:

Answer:

Yes.

because yea

The diagram shows the preimage ABCD and five reflected images. Match each reflection of ABCD with its Image after
the transformation. Drag the items on the left to the correct location on the right.

Answers

Answer:

there is the answer good luck

Choose the option that best completes the sentence.
The amount of energy it takes to lift a box might be a function of:
O A. the weight of the things inside the box.
O B. where the box was shipped from.
O c. the day of the week the box is being lifted.
D. the color of the box.

Answers

A. The weight of the things inside the box

The correct sentence will be;

⇒ The weight of the things inside the box.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The sentence is,

''The amount of energy it takes to lift a box might be a function of;''

Now,

Since, The sentence is,

''The amount of energy it takes to lift a box might be a function of;''

We know that;

The amount of energy it takes to lift a box might be a function of the weight of the things inside the box.

Thus, The correct sentence is;

⇒ The weight of the things inside the box.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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A car driving at 50 miles per hour drives 2 hours. What distance did it cover?

Answers

Answer: It travels 100 miles

Step-by-step explanation:

If it drives 50 miles an hour it would drive 100 miles an hour if it were driving for 2 hours.

Based on the speed of the car and the amount of time it was travelling, the car travelled 100 miles in 2 hours.

The distance that the car travelled can be calculated by:

Distance = Speed x Time

Speed = 50 miles per hour

Time = 2 hours

Distance = 50 x 2

= 100 miles

In conclusion, the car would have gone 100 miles.

Find out more at https://brainly.com/question/22277265.

In the diagram which angles are vertical angles

Answers

Answer:

angles that are opposite each other when two straight lines intersect.

Step-by-step explanation:

Which expression is equivalent to 21 - (-5)?
O A. -21 + 5
O B. 21 + 5
O C. -21 - 5
O D. 21 - 5

Answers

The answer is 21+5. Since there are 2 subraction of a negative it becomes a positive
It’s 21+5 (which is letter B) You turn the two negative signs positive.
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